Question

gianna is constructing a circle that passes through all three vertices of the triangle shown. where will the center of the circle be located? a. on a vertex of the triangle b. outside the triangle c. inside the triangle d. on a side of the triangle

Explanation:

Step1: Recall the property of circum - circle

The circle passing through all three vertices of a triangle is called the circum - circle.

Step2: Analyze the position of circum - center for an obtuse triangle

For an obtuse triangle (the given triangle \(ABC\) is obtuse as the angle at \(B\) is obtuse), the circum - center (center of the circum - circle) lies outside the triangle.

Answer:

B. outside the triangle